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Kato, Kazuya

A generalization of local class field theory by using K-groups. II. (English) Zbl 0411.12013

Proc. Japan Acad., Ser. A 54, 250-255 (1978).
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Cited in 5 Reviews
Cited in 8 Documents

MSC:

11S70 \(K\)-theory of local fields
11S31 Class field theory; \(p\)-adic formal groups

Keywords:

generalization of local class field theory; maximum abelian extension; duality; Kn-group

Citations:

Zbl 0199.555
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\textit{K. Kato}, Proc. Japan Acad., Ser. A 54, 250--255 (1978; Zbl 0411.12013)
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References:

[1] H. Bass and J. Tate: The Milnor ring of a global field. Lect. Notes in Math., Springer-Verlag, Berlin, vol.342, pp. 349-446 (1972). · Zbl 0299.12013
[2] S. Bloch: Algebraic K-theory and crystalline cohomology. Publ. Math. I.H.E.S., 47, 187-268 (1978). · Zbl 0388.14010
[3] D. Grayson: Higher algebraic K-theory. II. Lect. Notes in Math., Springer-Verlag, Berlin, vol.551, pp. 217-240 (1976). · Zbl 0362.18015
[4] A. Grothendieck: Elements de geometrie algebrique. IV. Premiere partie, Publ. Math. I.H.E.S., 20 (1964).
[5] K. Kato: A generalization of local class field theory by using K-groups. I. Proc. Japan Acad., 53, 140-143 (1977). · Zbl 0436.12011
[6] J.-L. Loday: K-theorie algebrique et representations de groupes. Ann. Sci. Ec. Norm. Sup., 4eme serie, 9(3) (1976). · Zbl 0362.18014
[7] J. Milnor: Algebraic K-theory and quadratic forms. Invent. Math., 9, 318- 344 (1970). · Zbl 0199.55501
[8] A.-N. Parsin: Class field theory for arithmetical schemes (preprint).
[9] D. Quillen: Higher algebraic K-theory. I. Lect. Notes in Math., Springer-Verlag, Berlin, vol.341, pp. 85-147 (1972). · Zbl 0292.18004
[10] J.-P. Serre: Cohomologie Galoisienne. Springer-Verlag, Berlin (1964). · Zbl 0128.26303
[11] J. Tate: Symbols in arithmetic. Actes du Congres International des Mathematiciens 1970, Gauthier-Villars, Paris, vol.1, pp. 201-211 (1971). · Zbl 0229.12013
[12] E. Witt: Zyklische Korper und Algebren der Charakteristik p vom Grade pn. J. Reine Angew. Math., 176, 126-140 (1936). · JFM 62.1112.03
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